Find the X-Intercepts of the Polynomial Function $$f ( x ) = - x ^ { 3 } ( x + 4 ) ^ { 2 } ( x - 7 )$$

Multiple Choice

Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.
- $$f ( x ) = - x ^ { 3 } ( x + 4 ) ^ { 2 } ( x - 7 )$$

A) 0 , crosses the $x$ -axis;
$- 4$ , touches the $x$ -axis and turns around;
7 , crosses the $x$ -axis
B) 0 , crosses the $x$ -axis;
4 , touches the $x$ -axis and turns around;
$- 7$ , crosses the $x$ -axis
C) 0 , touches the $x$ -axis and turns around;
$- 4$ , touches the $x$ -axis and turns around;
7 , crosses the $x$ -axis
D) 0 , touches the $x$ -axis and turns around;
4 , crosses the $x$ -axis;
7 , crosses the $x$ -axis